JEE Main & Advanced Mathematics Sequence & Series Question Bank Arithmetic Progression

  • question_answer
    The arithmetic mean of first n natural number [RPET 1986]

    A) \[\frac{n-1}{2}\]

    B) \[\frac{n+1}{2}\]

    C) \[\frac{n}{2}\]

    D) \[n\]

    Correct Answer: B

    Solution :

    A.M. \[=\frac{1+2+3+......+n}{n}=\frac{\frac{1}{2}n(n+1)}{n}=\frac{n+1}{2}\].


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